| Issue |
ESAIM: COCV
Volume 16, Number 1, January-March 2010
|
|
|---|---|---|
| Page(s) | 194 - 205 | |
| DOI | https://doi.org/10.1051/cocv:2008069 | |
| Published online | 19 December 2008 | |
Optimal measures for the fundamental gap of Schrödinger operators
Collège Condorcet de Bresles, Rue du Petit Chantilly,
60510 Bresles, France. nicolas.varchon@ac-amiens.fr
Received:
17
March
2008
Revised:
24
June
2008
We study the potential which minimizes the fundamental gap of the Schrödinger operator under the total mass constraint. We consider the relaxed potential and prove a regularity result for the optimal one, we also give a description of it. A consequence of this result is the existence of an optimal potential under L1 constraints.
Mathematics Subject Classification: 35J10 / 49K20 / 35J20 / 35B20
Key words: Schrödinger operator / eigenvalue problems / measure theory / shape optimization
© EDP Sciences, SMAI, 2008
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